How many radians are in one arcminute?
One arcminute equals pi divided by 10,800 radians, or about 0.000290888209 rad.
Convert Arcminute (′) to Radian (rad) instantly.
Calculation
value × 0.000290888208666
| Quick Conversion | Converted |
|---|---|
| 1 ′ | 0.000291 rad |
| 5 ′ | 0.001454 rad |
| 10 ′ | 0.002909 rad |
| 100 ′ | 0.029089 rad |
| 1,000 ′ | 0.290888 rad |
An arcminute is an angle unit equal to one sixtieth of a degree.
Arcminutes developed from sexagesimal angle subdivision and remain common in astronomy, navigation, and precision measurement.
Arcminutes are used in astronomy, optics, mapping, navigation, surveying, angular resolution, and precision alignment.
A radian is an angle unit where the arc length equals the radius of the circle.
Radians became central in mathematics because they simplify relationships between angles, arcs, and trigonometric functions.
Radians are used in trigonometry, calculus, physics, programming, robotics, engineering, and signal analysis.
Mathematically, radian (rad) = arcminute (′) converted with the formula below.
1 ′ = 0.000291 rad
1 rad = 3,437.746771 ′
Formula: value × 0.000290888208666
Example: 15 ′ = 0.004363 rad
Precision note: Use radians = arcminutes x pi / 10,800. Preserve pi precision through the calculation before rounding the final radian value.
1 ′ = 0.000291 rad
1 rad = 3,437.746771 ′
| Arcminute [′] | Radian [rad] |
|---|---|
| 0.01 ′ | 0.000003 rad |
| 0.1 ′ | 0.000029 rad |
| 1 ′ | 0.000291 rad |
| 2 ′ | 0.000582 rad |
| 5 ′ | 0.001454 rad |
| 10 ′ | 0.002909 rad |
| 20 ′ | 0.005818 rad |
| 50 ′ | 0.014544 rad |
| 100 ′ | 0.029089 rad |
One arcminute equals pi divided by 10,800 radians, or about 0.000290888209 rad.
60 arcminutes equals one degree, or about 0.01745329252 radians.
Radians are required by many formulas and programming functions, while arcminutes are often used for precision angle descriptions.